Mechanical Engineering
Question : The difference between Simple and Compound Interest (compounded annually) on Rs. 40,000 for 3 years at 8% per annum is:
Option 1: Rs. 684.32
Option 2: Rs. 788.48
Option 3: Rs. 784.58
Option 4: Rs. 4,000
Correct Answer: Rs. 788.48
Solution : The formula for the difference between Compound Interest(CI) and Simple Interest(SI) for 3 years is given by: $CI-SI=\frac{PR^{2}(300+R)}{100^{3}}$, where $P$ is principal and $R$ is rate of interest per annum compounded annually. ⇒ $CI-SI=\frac{40000\times8^{2}\times(300+8)}{100^{3}}$ ⇒ $CI-SI=\frac{788480000}{1000000}$ $\therefore CI-SI=788.48$ Hence, the correct answer is Rs.
Question : The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:
Option 1: 161
Option 2: 162
Option 3: 163
Option 4: 164
Correct Answer: 162
Solution : Given: The average height of 30 boys out of a class of 50 is 160 cm. Average height of remaining boys = 165 cm Formula Used: $\text{Average} = \frac{\text{Sum of the heights of all the students}}{\text{Number of students}}$ Calculation: Total height of 30 boys $=
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
A robot is a mechanical or virtual artificial agent, usually an electromechanical machine that is (1)______ by a computer programme or electronic circuitry. In general, robots can be autonomous or semi-autonomous and are now used in different fields. They have replaced (2)_______ in performing repetitive and dangerous tasks which humans prefer not to do, or are unable to do because of size limitations, or which take place in extreme (3)________ such as outer space or the bottom of the sea. For instance, robots can now be used in industry, as in car manufacturing, or they can be used in homes to do the (4)_______. Some robots may respond to speech or even be medical operating tools. There are concerns about the increasing use of robots and their role in society. Robots are blamed for the rising (5)________ as they replace workers in increasing numbers of functions.
Question:
Select the most appropriate option to fill in the blank number 3.
Option 1: beauty
Option 2: pattern
Option 3: enjoyment
Option 4: environments
Correct Answer: environments
Solution : The correct choice is the fourth option.
The sentence talks about tasks that humans may avoid or are unable to perform due to size limitations or that occur in extreme conditions, such as outer space or the bottom of the sea.
Environment fits here
Question : Which of the following statements is not true about Taylor and Fayol?
Option 1: Fayol was a mining engineer where as Taylor was a mechanical engineer.
Option 2: Fayol's principles were formed through personal experience where as Taylor's principle were formed through experimentation.
Option 3: Fayol's principles are applicable in specialised situation where as Taylor principles have universal application.
Option 4: All of the above
Correct Answer: Fayol's principles are applicable in specialised situation where as Taylor principles have universal application.
Solution : Fayols principles have universal application where as Taylor's principles are applicable in specialised knowledge. Taylor's principle are focused on workers efficiency while Fayol's principles are focused on managerial efficiency.
Hence,option C is
Engineering Thermodynamics: Fundamentals of thermodynamic systems, laws of thermodynamics, and their applications.
Mechanics of Solids: Study of stress, strain, and deformation in materials under various loading conditions.
Fluid Mechanics: Introduction to fluid properties, fluid statics, and dynamics.
Manufacturing Processes: Overview of various manufacturing techniques such as casting, forming, and machining.
Question : On 1st April, 2012, Vishwas Ltd. was formed with an authorised capital of Rs. 10,00,000 divided into 1,00,000 equity shares of Rs. 10 each. The company issued prospectus inviting applications for 90,000 equity shares. The company received applications for 85,000 equity shares. During the first year, Rs. 8 per share were called. Ram holding 1,000 shares and Shyam holding 2,000 shares did not pay the first call of Rs. 2 per share. Shyam's shares were forfeited after the first call and later on 1,500 of the forfeited shares were reissued at Rs. 6 per share, Rs. 8 called-up.
Question:- Balance of share forfeiture account is _______.
Option 1:
Rs. 3,000
Option 2: Rs. 4,000
Option 3: Rs. 5,000
Option 4:
None of these
Correct Answer:
Solution :
Answer = Rs. 3,000
BALANCE SHEET (EXTRACT) as at...
Particulars
Note No.
Rs.
1. EQUITY AND LIABILITIES
Shareholder's Funds
Share Capital
1
6,77,000
1. Share Capital Authorised Capital
1,00,000 Equity Shares of Rs. 10 each
Issued Capital
10,00,000
90,000 Equity
Question : A and B were partners in a firm sharing profits and losses in the ratio of equally . With effect from 1st January 2019 they agreed to share profits and losses 2:1 Individual partner’s gain or sacrifice due to change in the ratio will be :
Option 1: Gain by $A \frac{1}{6}$; Sacrifice by $B \frac{1}{6}$
Option 2: Gain by $A \frac{1}{2}$; Sacrifice by $B \frac{1}{2}$
Option 3: Sacrifice by $A \frac{1}{2}$; Gain by $B \frac{1}{2}$
Option 4: Sacrifice by $A \frac{1}{2}$; Gain by $B \frac{1}{2}$
Correct Answer: Gain by $A \frac{1}{6}$; Sacrifice by $B \frac{1}{6}$
Solution : Answer = Gain by $A \frac{1}{6}$; Sacrifice by $B \frac{1}{6}$
Sacrificing Ratio = old ratio - new ratio
A = 1/2 - 2/3 = 3-4/6 = -1/6 (gain)
B = 1/2 - 1/3 = 3-2/6 = 1/6 (sacrifice)
Question : Directions: Which number will appear at the bottom face in the last cube?
Option 1: 3
Option 2: 4
Option 3: 6
Option 4: 1
Correct Answer: 6
Solution : The bottom face in the last cube is the face opposite to 4. Taking dice positions 2 and 3 with 4 as the common face,
Moving clockwise from the common face with 4,
Pairs of opposite faces –
So, the bottom face in the last
Question : Directions: WF18 is related to ZI13 in a certain way. In the same way, NT16 is related to QW11. To which of the following is SL19 related following the same logic?
Option 1: VO14
Option 2: UO14
Option 3: WP13
Option 4: VP15
Correct Answer: VO14
Solution : Given: WF18 is related to ZI13 and NT16 is related to QW11.
Add 3 to the place value of each letter and subtract 5 from the numbers of WF18, to obtain the required related code – W + 3 = Z; F + 3 =
Question : Select the most appropriate ANTONYM of the given word. Profit
Option 1: Earnings
Option 2: Amount
Option 3: Sale
Option 4: Expense
Correct Answer: Expense
Profit means the amount of money gained from a business activity after subtracting all expenses, whereas expense means the costs incurred during business operations that reduce overall profit. So, in this case, expense is the opposite of
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